I play a lot of first-person shooters (Halo series, Bad Company 2, BF3, BioShock series)
offline RPG's (Elder Scrolls series, Mass Effect series, the old KotoR games)
Action/dventure games (Far Cry 3, FC: Blood Dragon, Just Cause 2, Metro 2033, Metro: Last Light, Assassin's Creed series)
MOBA's (League of Legends mainly)
And strategy/simulation games (Sid Meier's Civilization 4 & 5, Cities XL 2012).
All of them, good games. I just can't wait for Elder scrolls online. Looks good and all their games are amazing, so expecting something huge on this one.